112000211111220 has 192 divisors, whose sum is σ = 330310625863680. Its totient is φ = 28299813696000.

The previous prime is 112000211111219. The next prime is 112000211111227. The reversal of 112000211111220 is 22111112000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112000211111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000211111227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699523375 + ... + 699683465.

It is an arithmetic number, because the mean of its divisors is an integer number (1720367843040).

Almost surely, 2^{112000211111220} is an apocalyptic number.

112000211111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000211111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165155312931840).

112000211111220 is an abundant number, since it is smaller than the sum of its proper divisors (218310414752460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112000211111220 is a wasteful number, since it uses less digits than its factorization.

112000211111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164886 (or 164884 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112000211111220 its reverse (22111112000211), we get a palindrome (134111323111431).

The spelling of 112000211111220 in words is "one hundred twelve trillion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".